Indeed welcome Paul
In initial listening the D-Premier has some very impressive sound quality in terms of providing a very neutral sound but without the associated solid state class AB and class D amp limitations (usually along the lines of being lean, too cool, dry, analytical).
That said over time it is other aspects-characteristics I feel we pick up.
Paul, the easiest way to tell if it is a trait with the D-Premier is listen to it in dual slave mode, personally I feel this is the only way to listen to the D-Premier, but as you mention it is the cost to do so.
My gut feeling is that something is happening with the current dumping (where it is combining Class D and Class A) in different parts of the frequency, I feel I can detect some kind of artifact/phase type niggle between the low/mid and the high frequency that is possibly similar to what Amir picked up.
Driving this at louder volume (which is more likely if speakers are not sensitive) and have reasonable space seems to make this attribute more noticable.
Going with dual D-Premier resolves this problem, along with adding greater weight-depth to the instruments, and improving the smoothness even further but without losing the detail or finesse.
Paul, one suggestion; have you tried to plug your CD player's analogue outputs into the D-premier instead of going digital to digital?
This does it will be re-converted back to digital but may provide some subtle characteristics that you like from your current player.
Suggesting this as I would love Devialet to offer different digital settings to offset its excellent but very neutral sound.
Keep us informed on what you feel your hearing and whether you try the CD player using analogue, and what you decide to do in future.
Cheers
Orb